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The (11, 3)-arcs of the Galois plane of order 5

Published online by Cambridge University Press:  24 October 2008

D. L. Bramwell  and
B. J. Wilson
D. L. Bramwell
Affiliation:
Chelsea College, University of London
B. J. Wilson
Affiliation:
Chelsea College, University of London
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Extract

1. It was shown by Barlotti(1) that the number, k, of points on a (k, n)-arc in a Galois plane S2, q, of order q, where n and q are coprime, satisfies

Regular arcs, in which all the points are of the same type have been studied by Basile and Brutti(2) and, for n = 3 by d'Orgeval(4). By means of an electronic computer Lunelli and Sce(5) have enumerated many arcs in Galois planes of low order. The object of this note is to show how the (11, 3)-arcs of S2, 5, none of which is regular, may be described using only geometrical properties.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 74 , Issue 2 , September 1973 , pp. 247 - 250
Copyright
Copyright © Cambridge Philosophical Society 1973

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References

REFERENCES

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